Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 185 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.Solve: p/5 + p/6 = 11. What is p?
2. 2.What amount will ₹15000 grow to in 2 years at 8% per year compound interest (in ₹)?
3. 3.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
4. 4.Use (a + b)² = a² + 2ab + b² to find 45².
5. 5.What is 11³? =
6. 6.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
7. 7.Solve: 7x + 9 = 2x + 79. What is x?
8. 8.A square garden has an area of 289 square m. How long is each side (in m)?
9. 9.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
10. 10.What is the value of (3/7)⁻¹? =
11. 11.What is the value of 10³? =
12. 12.What is the value of 2⁴ × 2⁻⁴? =
13. 13.What amount will ₹52400 grow to in 2 years at 15% per year compound interest (in ₹)?
14. 14.Use (a + b)² = a² + 2ab + b² to find 28².
15. 15.What is the smallest whole number by which 54 must be multiplied to get a perfect square?
16. 16.The sum of two consecutive whole numbers is 17. What is the smallest of them?
17. 17.Write 5³ × 5⁶ as a single power 5ⁿ. What is n?
18. 18.Write 1.8 × 10⁻¹ as a decimal. =
19. 19.What is the value of (7/8)⁻¹? =
20. 20.Write 7.1 × 10⁻² as a decimal. =
21. 21.Write 3¹⁰ ÷ 3² as a single power 3ⁿ. What is n?
22. 22.Solve: 3y + 4 = 2y + 16. What is y?
23. 23.Find the compound interest on ₹6900 at 25% per year for 1 year, compounded every year (in ₹).
24. 24.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
25. 25.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
26. 26.Use (a + b)² = a² + 2ab + b² to find 97².
27. 27.What is the difference between the compound interest and the simple interest on ₹50000 at 8% per year for 2 years (in ₹)?
28. 28.Solve: 4t + 7 = t + 22. What is t?
29. 29.Write 4,300 in standard form as 4.3 × 10ⁿ. What is n?
30. 30.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
31. 31.What amount will ₹55000 grow to in 2 years at 12% per year compound interest (in ₹)?
32. 32.Write 3.1 × 10⁻² as a decimal. =
33. 33.What is √961? =
34. 34.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
35. 35.Use (a + b)(a − b) = a² − b² to find 89 × 71.
36. 36.A scooter is worth ₹10000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
37. 37.What amount will ₹18400 grow to in 1 year at 5% per year compound interest (in ₹)?
38. 38.Use (a + b)(a − b) = a² − b² to find 92 × 88.
39. 39.Use (a + b)² = a² + 2ab + b² to find 15².
40. 40.Which of these is a perfect cube? (a) 2041 (b) 1728 (c) 1933

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